KK meets strange turn/river play

[D.H.]

This guy had:
VP$IP: 45%
PFR: 10%
Post flop aggr: 1.75

That's basically all I know. I was very confused when he checked to me on the river. What does this mean? Should I bet or not?

Party Poker 5/10 Hold'em (6 max, 6 handed) converter

Preflop: Hero is Button with K[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/spade.gif[/img].
<font color="#666666">3 folds</font>, <font color="#CC3333">Hero raises</font>, SB calls, <font color="#666666">1 fold</font>.

Flop: (5 SB) 6[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/heart.gif[/img], 7[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">SB bets</font>, Hero calls.

Turn: (3.50 BB) 2[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">SB bets</font>, <font color="#CC3333">Hero raises</font>, <font color="#CC3333">SB 3-bets</font>, Hero calls.

River: (9.50 BB) 5[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
SB checks, Hero ??.

Final Pot: 9.50 BB

[SlyGuy]

Busted flush draw?

[dave44]

I would bet here and not feel so bad about folding if he happens to raise.

[[censored]]

I remember one of the questions from an ed miller quiz. His answer was the player overplayed his hand and you should bet.

[obsidian]

People overplay draws too much here. This is an easy value bet.